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Mathematical analysis for transmission of covid-19 / / edited by Nita H. Shah, Mandeep Mittal
| Mathematical analysis for transmission of covid-19 / / edited by Nita H. Shah, Mandeep Mittal |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (366 pages) : illustrations |
| Disciplina | 614.592414 |
| Collana | Mathematical Engineering |
| Soggetto topico | Engineering mathematics |
| ISBN | 981-336-264-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- About the Editors -- 1 Introduction to Compartmental Models in Epidemiology -- Introduction -- Simple Epidemic Models -- What Is Equilibrium Point and Its Existence? -- How to Compute Threshold or Basic Reproduction Number? -- How to Characterize Nature of Stability? -- What Is Bifurcation and What It Reflects? -- How to Optimize the Issue? -- Inside This Book -- References -- 2 Modelling the Impact of Nationwide BCG Vaccine Recommendations on COVID-19 Transmission, Severity and Mortality -- Introduction -- Mathematical Model -- Basic Reproduction Number -- Local Stability Analysis -- Sensitivity Analysis -- Numerical Simulation -- Conclusion -- References -- 3 Modeling the Spread of COVID-19 Among Doctors from the Asymptomatic Individuals -- Introduction -- Mathematical Model -- Analysis of the Compartmental Model -- Positivity Analysis -- Equilibrium Points -- Basic Reproduction Ratio -- Stability Analysis at DFE (Edfe) -- Stability Analysis at EE (Eee) -- Results and Discussion -- Conclusions -- References -- 4 Transmission Dynamics of Covid-19 from Environment with Red Zone, Orange Zone, Green Zone Using Mathematical Modelling -- Introduction -- Notations -- Mathematical Model -- Spectral Radius Ro -- Stability Analysis -- Local Stability -- Optimal Control Problem -- Numerical Simulation -- Conclusion -- References -- 5 A Comparative Study of COVID-19 Pandemic in Rajasthan, India -- Introduction -- Mathematical Modelling of COVID-19 -- Numerical Analysis -- Conclusion -- Annexure 1 -- Annexure 2 -- Annexure 3 -- Annexure 4 -- References -- 6 A Mathematical Model for COVID-19 in Italy with Possible Control Strategies -- Introduction -- The Mathematical Model -- Basic Properties -- Non-negativity of the Solution -- Boundedness of the Solution -- Disease Free Equilibrium and Basic Reproduction Number.
Existence of Endemic Equilibrium -- Backward Bifurcation -- Stability Analysis -- Local Stability of Disease Free Equilibrium -- Global Stability of Disease Free Equilibrium -- Local Stability of Endemic Equilibrium -- Numerical Simulation and Model Fitting -- Game Changers -- Impact of Early Lock Down -- Impact of Rapid Isolation on Infected Individuals -- Conclusion -- References -- 7 Effective Lockdown and Plasma Therapy for COVID-19 -- Introduction -- Formulation of Mathematical Model -- Equilibrium Solutions -- Basic Reproduction Number -- Stability Analysis -- Optimal Control -- Numerical Simulation -- Conclusion -- References -- 8 Controlling the Transmission of COVID-19 Infection in Indian Districts: A Compartmental Modelling Approach -- Introduction -- Model Development -- Positivity and Boundedness of the Solution -- Basic Reproduction Number and Equilibrium Point -- Optimal Control Theory -- Numerical Simulation -- Conclusion -- References -- 9 Fractional SEIR Model for Modelling the Spread of COVID-19 in Namibia -- Introduction -- Conceptual Model -- Mathematical Analysis of the Conceptual Model -- Existence of Uniqueness of Solution and Continuously Dependency on the Data -- Positivity of Solution -- Equilibrium Points -- Reproductive Number -- Stability Analysis -- Construction of the Numerical Method -- Analysis of the Numerical Method -- Results and Discussion -- Concluding Remarks and Policy Recommendations -- References -- 10 Impact of COVID-19 in India and Its Metro Cities: A Statistical Approach -- Introduction -- Literature -- Data -- Methodology -- Results and Discussion -- Conclusion -- References -- 11 A Fractional-Order SEQAIR Model to Control the Transmission of nCOVID 19 -- Introduction -- Preliminary Results and Definitions -- Model Formulation -- Stability Results -- Endemic Equilibria. Existence and Uniqueness of Solution -- Numerical Results -- Simulation -- Conclusion -- References -- 12 Analysis of Novel Corona Virus (COVID-19) Pandemic with Fractional-Order Caputo-Fabrizio Operator and Impact of Vaccination -- Introduction -- Preliminaries -- Mathematical Formulation of COVID-19 Model -- Existence Criteria of CF Model (12.2) by Picard Approximation -- Equilibrium Points and Its Stability -- Stability Analysis via Iterative Scheme -- Numerical Simulations -- Fractional SEIRQ COVID-19 Model with Vaccination -- Conclusion -- References -- 13 Compartmental Modelling Approach for Accessing the Role of Non-Pharmaceutical Measures in the Spread of COVID-19 -- Introduction -- Model Formulation -- Description -- Well Orderedness -- Stability Analysis -- Disease-Free Equilibrium (E0) -- Basic Reproduction Number (R0) -- Local Stability of Disease-Free Equilibrium -- Endemic Equilibirum (E1) -- Local Stability of Endemic Equilibrium -- Sensitivity Analysis -- Conclusion -- References -- 14 Impact of 'COVID-19' on Education and Service Sectors -- Introduction -- Literature Review -- Review Aim -- Methods -- Design -- Respondents -- Tools -- Questionnaire -- Data Analysis -- Service Sector -- Education Sector -- Results and Discussion -- Service Sector -- Education Sector -- Conclusion and Future Scope -- References -- 15 Global Stability Analysis Through Graph Theory for Smartphone Usage During COVID-19 Pandemic -- Introduction -- Mathematical Model -- Stability -- Numerical Simulation -- Conclusion -- References -- 16 Modelling and Sensitivity Analysis of COVID-19 Under the Influence of Environmental Pollution -- Introduction -- Mathematical Model -- The Basic Reproduction Number -- Sensitivity Analysis -- Results and Discussion -- References -- 17 Bio-waste Management During COVID-19 -- Introduction -- Mathematical Modelling. Stability -- Local Stability -- Global Stability -- Optimal Control -- Numerical Simulation -- Conclusion -- References -- 18 Mathematical Modelling of COVID-19 in Pregnant Women and Newly Borns -- Introduction -- Proposed Mathematical Model Formulation in the Case of Pregnant Women -- Numerical Illustration -- Observation and Discussion -- Conclusions -- References -- 19 Sensor and IoT-Based Belt to Detect Distance and Temperature of COVID-19 Suspect -- Introduction -- Experimental Details -- Node MCU -- Programming Software -- Buzzer -- Smart Phone Application Software -- Ultrasonic Sensor -- Temperature Sensor -- Hardware Implementation -- Results and Discussion -- Distance Measurement -- Temperature Measurement -- Cost of the Setup -- Conclusions -- References. |
| Record Nr. | UNINA-9910484366403321 |
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soft computing in inventory management / / Nita H. Shah, Mandeep Mittal, editors
| Soft computing in inventory management / / Nita H. Shah, Mandeep Mittal, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (228 pages) |
| Disciplina | 658.787 |
| Collana | Inventory Optimization |
| Soggetto topico |
Inventory control - Mathematical models
Soft computing |
| ISBN | 981-16-2156-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- Editors and Contributors -- Retailer's Optimal Ordering Policy Under Supplier Credits When Demand is Fuzzy and Cloud Fuzzy -- 1 Introduction -- 2 Notations and Assumptions -- 2.1 Notations -- 2.2 Assumptions -- 3 Preliminary Concepts -- 3.1 Triangular Fuzzy Number (TFN) -- 3.2 2α- Cut of TFN -- 3.3 Cloud Triangular Fuzzy Number (CTFN) -- 3.4 Left and Right 2α- cut of CTFN -- 3.5 Yager's Ranking Index Method (1981) -- 3.6 Yager's Ranking Index Method for CTFN -- 4 Mathematical Modelling -- 4.1 Formulation of Fuzzy Mathematical Model -- 4.2 Formulation of Cloud Fuzzy Mathematical Model -- 5 Numerical Analysis and Proof of Convexity -- 6 Sensitivity Analysis -- 7 Conclusion and Future Scope -- References -- An Application of PSO to Study Joint Policies of an Inventory Model with Demand Sensitive to Trade Credit and Selling Price While Deterioration of Item Being Controlled Using Preventive Technique -- 1 Introduction -- 2 Notation and Assumptions -- 2.1 Notation -- 2.2 Assumptions -- 3 Mathematical Model -- 3.1 Retailer's Total Profit Per Unit Time -- 3.2 Manufacturer Total Profit Per Unit Time -- 3.3 Joint Profit of Supply Chain -- 4 Solution Procedure -- 5 Numerical Examples -- 6 Sensitivity Analysis -- 7 Conclusion -- References -- Optimization of the Berth Allocation Problem to the Vessels Using Priority Queuing Systems -- 1 Introduction -- 2 Problem Description -- 3 Mathematical Model -- 3.1 Assumptions -- 4 Experimental Results and Discussion -- 5 Conclusions -- References -- Fuzzy Inventory Model for Deteriorating Items in a Supply Chain System with Time Dependent Demand Rate -- 1 Introduction -- 2 Assumptions and Notations -- 3 Mathematical Model -- 4 Numerical Example -- 5 Sensitivity Analysis -- 6 Conclusion -- References -- Credit Financing in a Two-Warehouse Inventory Model with Fuzzy Deterioration and Weibull Demand.
1 Introduction -- 2 Literature Study -- 3 Prelimineries -- 4 Assumptions and Notation -- 4.1 Assumptions -- 4.2 Notation -- 5 Mathematical Model -- 5.1 Crisp Model -- 6 Fuzzy Model -- 6.1 Case 1: M leqtw leqT -- 6.2 Case 2: tw < -- M leqT -- 6.3 Case 3: M > -- T -- 7 Numerical Examples -- 7.1 Crisp Model Versus Fuzzy Model -- 8 Sensitivity Analysis -- 9 Conclusion -- 10 Managerial Insights -- References -- Two-Warehouse Inventory of Sugar Industry Model for Deteriorating Items with Inflation Using Differential Evolution -- 1 Introduction -- 2 Related Works -- 3 Assumptions and Notations -- 4 Formulation and Solution of the Model -- 5 Evolutionary Algorithms -- 6 Numerical Illustration -- 7 Sensitivity Analysis -- 8 Conclusion -- References -- A Stackelberg Game Approach in Supply Chain for Imperfect Quality Items with Learning Effect in Fuzzy Environment -- 1 Introduction -- 2 Notations -- 2.1 Assumptions -- 2.2 Some Definitions -- 3 Mathematical Crisp Models -- 3.1 Buyer's Model -- 3.2 Seller's Model -- 3.3 The Non-cooperative Stackelberg Game Theory Approach -- 4 Mathematical Fuzzy Model -- 4.1 Buyer's Fuzzy Model -- 4.2 Seller's Fuzzy Model -- 4.3 Seller's Stackelberg Fuzzy Model -- 4.4 The Buyer's Stackelberg Fuzzy Model -- 5 Numerical Examples -- 6 Sensitivity Analysis -- 6.1 Effect of Learning on the Player's Profit -- 6.2 Fuzzy Seller-Stackelberg -- 7 Observations -- 8 Conclusions -- References -- An Analytic and Genetic Algorithm Approach to Optimize Integrated Production-Inventory Model Under Time-Varying Demand -- 1 Introduction -- 2 Notations and Assumptions -- 2.1 Notations -- 2.2 Assumptions -- 3 Model Formulation -- 3.1 Manufacturer's Total Cost -- 3.2 Retailer's Total Cost -- 3.3 Joint Total Cost -- 4 Computational Algorithm -- 4.1 Analytical Approach -- 4.2 Genetic Algorithm Approach. 5 Numerical Example and Sensitivity Analysis -- 5.1 Numerical Example -- 6 Conclusion -- References -- Sustainable Inventory Model with Carbon Emission Dependent Demand Under Different Carbon Emission Policies -- 1 Introduction -- 2 Assumptions and Notations -- 3 Mathematical Model -- 4 Solution Procedure -- 5 Numerical Examples -- 6 Sensitivity Analysis -- 7 Conclusion -- References -- Impact of Two Different Trade Credits Options on a Supply Chain with Joint and Independent Decision Under Trapezoidal Demand -- 1 Introduction -- 1.1 Notation -- 1.2 Assumptions -- 2 Mathematical Model -- 2.1 Supplier's Model -- 2.2 Retailer's Model -- 3 Joint and Independent Decision -- 3.1 Joint Decision -- 3.2 Independent Decision -- 4 Numerical Examples -- 5 Sensitivity Analysis -- 6 Conclusions -- References -- A Coordinated Single-Vendor Single-Buyer Inventory System with Deterioration and Freight Discounts -- 1 Introduction -- 2 Notations and Assumptions -- 2.1 Notations -- 2.2 Assumptions -- 3 Mathematical Model Formulation -- 4 Numerical Example and Sensitivity Analysis -- 4.1 Numerical Analysis -- 5 Sensitivity Analysis and Conclusion -- References. |
| Record Nr. | UNINA-9910495216803321 |
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||